Answer to Question #248713 in Mechanical Engineering for Badge

Question

*Problem1*

f(x) = log((1-|x|)÷(1+|x|))

•It's largest domain

•It's intersections with the x-axis (if any)

•It's intersection with the y-axis (if any)

•It's sign

•when appropriate, end behaviours and behaviours at accumulation points of the domain which are not in the domain, possible asymptotes.

*Problem 2*

Compute, showing the procedure,

limit from x to positive infinity of the problem encircled in brackets ( square root symbol x^2-3x - square root symbolx^2-5x+1)

*Problem 3*

Compute, showing the procedure,

limit from x to negative infinity of the expresion: (square root symbol x^6-x^2)÷(1-2x)

Answer 1

Problem-1

for the finding linear equation of the function $f(x) = log((1-|x|)÷(1+|x|))$ it will be the intersection with the Y-axis.

so the option c) intersection with y-axis is accurate

problem-2

procedure/principal

The ones function creates a matrix whose elements are all ones. Typing ones(m,n) creates an m row by n column matrix of ones. To create a ones matrix that is the same size as an existing matric, you can use ones(size(X)). This does not affect the input argument. For example (this definition of x applies to subsequent examples in this section)

problem-3

Indexing:

If x is already defined as a vector of the form [val1 val2 val3 val4...] then you can define a new variable as a subset of xby using the index of the specific value in vector x. For example, if x is defined as [2 4 1 7], then:

>> z = x(3)

This means that the first element always has index (1,1), not (0,0).